Question : An athlete runs 8 times around a circular field of radius 7 m in 3 minutes 40 seconds. His speed (in km/hr) is:
(Take $\pi=\frac{22}{7}$ )
Option 1: $\frac{72}{25}$
Option 2: $\frac{118}{25}$
Option 3: $\frac{144}{25}$
Option 4: $\frac{108}{25}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $\frac{144}{25}$
Solution :
The distance covered by the athlete is the circumference of the circular field multiplied by the number of times he runs around it.
The circumference (C) of a circle, $C = 2\pi r$ where r is the radius of the circle.
Given:
r = 7 m
Number of rounds = 8
Substituting these values into the formula,
Total Distance = 8 × 2 × $\frac{22}{7}$ × 7 = 352 m
The time taken by the athlete is 3 minutes 40 seconds = 220 seconds.
$\text{Speed} = \frac{\text{Total Distance}}{\text{Time}} = \frac{352}{220} \, \text{m/s}$
$\text{Speed} = \frac{352}{220} \, \text{m/s} \times \frac{18}{5} \, \text{km/hr} = \frac{144}{25} \, \text{km/hr} $
Hence, the correct answer is $\frac{144}{25}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
